Eccentricity-Based Energies of Non-Commuting Graph for Dihedral Groups

Authors

  • Mamika Ujianita Romdhini Department of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, Mataram 83125, Indonesia
  • Athirah Nawawi Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
  • Faisal Al-Sharqi Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
  • Abdurahim Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram, Mataram 83125, Indonesia
  • Andika Ellena Saufika Hakim Maharani Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram, Mataram 83125, Indonesia
  • Ifan Hasnan Dani Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram, Mataram 83125, Indonesia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5776

Keywords:

Eccentricity-based matrices, Energy of a graph, Non-commuting graph, Dihedral Groups

Abstract

Spectral graph theory is a research topic that combines algebra and graph theory, with the intersection representing a graph as a matrix. The eigenvalues of the matrix give the value of graph energy. This research focuses on the non-commuting graph for dihedral groups corresponding to eccentricity-based matrices including eccentricity, sum eccentricity, and average degree eccentricity matrices.

Author Biography

  • Faisal Al-Sharqi, Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq

    College of Engineering, National University of Science and Technology, Dhi Qar, Iraq 

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Algebra

License

Copyright (c) 2025 Mamika Ujianita Romdhini, Athirah Nawawi, Faisal Al-Sharqi, Abdurahim, Andika Ellena Saufika Hakim Maharani, Ifan Hasnan Dani

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How to Cite

Eccentricity-Based Energies of Non-Commuting Graph for Dihedral Groups. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5776. https://doi.org/10.29020/nybg.ejpam.v18i2.5776